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A012579 Expansion of e.g.f. tanh(arcsinh(x) * log(x+1)). 1
0, 0, 2, -3, 4, -20, -82, 1701, -13176, 102096, -741798, 2555685, 32996940, -986649300, 17351145030, -237817720035, 2593221000720, -18017408438400, -162521065585230, 10623453347243565, -281538871670714220, 5556579737347871820, -89014595698012503330, 977317781020921150965 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

EXAMPLE

2/2!*x^2 - 3/3!*x^3 + 4/4!*x^4 - 20/5!*x^5 ...

MATHEMATICA

Range[0, 30]! CoefficientList[Series[Tanh[ArcSinh[x] Log[x+1]], {x, 0, 30}], x] (* Vincenzo Librandi, Jul 20 2018 *)

CROSSREFS

Sequence in context: A268349 A107241 A012576 * A012283 A012286 A302610

Adjacent sequences:  A012576 A012577 A012578 * A012580 A012581 A012582

KEYWORD

sign

AUTHOR

Patrick Demichel (patrick.demichel(AT)hp.com)

EXTENSIONS

a(0) and a(1) inserted and title improved by Sean A. Irvine, Jul 19 2018

STATUS

approved

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Last modified October 19 14:21 EDT 2018. Contains 316362 sequences. (Running on oeis4.)